Finding the Fourth Proportional to 2,600.52, 3,900.76 and 776.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,600.52 : 3,900.76 = 776.52 : x
2. Step 2: Convert to fraction form
   2,600.52/3,900.76 = 776.52/x
3. Step 3: Cross multiply
   2,600.52x = 3,900.76 × 776.52
4. Step 4: Simplify right side
   2,600.52x = 3,029,018.16
5. Step 5: Solve for x
   x = 3,029,018.16/2,600.52
6. Step 6: Final answer
   x = 1,164.77